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The Self-Organizing Map (SOM) is a brain-inspired neural model that is very promising for unsupervised learning, especially in embedded applications. However, it is unable to learn efficient prototypes when dealing with complex datasets. We…

Neural and Evolutionary Computing · Computer Science 2020-09-07 Lyes Khacef , Laurent Rodriguez , Benoit Miramond

The Parameter-Less Self-Organizing Map (PLSOM) is a new neural network algorithm based on the Self-Organizing Map (SOM). It eliminates the need for a learning rate and annealing schemes for learning rate and neighbourhood size. We discuss…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Erik Berglund , Joaquin Sitte

A self-organizing map (SOM) is a type of competitive artificial neural network, which projects the high-dimensional input space of the training samples into a low-dimensional space with the topology relations preserved. This makes SOMs…

Machine Learning · Computer Science 2018-11-02 Wenbin Zhang , Jianwu Wang , Daeho Jin , Lazaros Oreopoulos , Zhibo Zhang

Self-Organizing Maps (SOM) are a classical method for unsupervised learning, vector quantization, and topographic mapping of high-dimensional data. However, existing SOM formulations often involve a trade-off between computational…

Machine Learning · Computer Science 2026-04-16 Seiki Ubukata , Akira Notsu , Katsuhiro Honda

Results of neural network learning are always subject to some variability, due to the sensitivity to initial conditions, to convergence to local minima, and, sometimes more dramatically, to sampling variability. This paper presents a set of…

Statistics Theory · Mathematics 2007-06-13 Eric De Bodt , Marie Cottrell , Michel Verleysen

We propose a Parton Distribution Function (PDF) fitting technique which is based on an interactive neural network algorithm using Self-Organizing Maps (SOMs). SOMs are visualization algorithms based on competitive learning among…

High Energy Physics - Phenomenology · Physics 2016-04-26 H. Honkanen , S. Liuti

We present an alternative algorithm to global fitting procedures to construct Parton Distribution Functions (PDFs) parametrizations. The proposed algorithm uses Self-Organizing Maps (SOMs) which at variance with the standard Neural…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Honkanen , S. Liuti , Y. C. Loitiere , D. Brogan , P. Reynolds

Neural network algorithms have been recently applied to construct Parton Distribution Function (PDF) parametrizations which provide an alternative to standard global fitting procedures. We propose a technique based on an interactive neural…

High Energy Physics - Phenomenology · Physics 2009-04-30 J. Carnahan , H. Honkanen , S. Liuti , Y. Loitiere , P. R. Reynolds

Self-organizing maps (SOM) are widely used for their topology preservation property: neighboring input vectors are quantified (or classified) either on the same location or on neighbor ones on a predefined grid. SOM are also widely used for…

Statistics Theory · Mathematics 2016-08-14 Eric De Bodt , Marie Cottrell , Patrick Letrémy , Michel Verleysen

In computer vision most iterative optimization algorithms, both sparse and dense, rely on a coarse and reliable dense initialization to bootstrap their optimization procedure. For example, dense optical flow algorithms profit massively in…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Matthias Ochs , Henry Bradler , Rudolf Mester

Self-Organizing Map algorithms have been used for almost 40 years across various application domains such as biology, geology, healthcare, industry and humanities as an interpretable tool to explore, cluster and visualize high-dimensional…

Neural and Evolutionary Computing · Computer Science 2020-11-12 Florent Forest , Mustapha Lebbah , Hanane Azzag , Jérôme Lacaille

There has been an increasing interest in semi-supervised learning in the recent years because of the great number of datasets with a large number of unlabeled data but only a few labeled samples. Semi-supervised learning algorithms can work…

Machine Learning · Computer Science 2020-03-26 Pedro H. M. Braga , Hansenclever F. Bassani

Recently popularized randomized methods for principal component analysis (PCA) efficiently and reliably produce nearly optimal accuracy --- even on parallel processors --- unlike the classical (deterministic) alternatives. We adapt one of…

Computation · Statistics 2011-12-23 Nathan Halko , Per-Gunnar Martinsson , Yoel Shkolnisky , Mark Tygert

Parameter prediction is essential for many applications, facilitating insightful interpretation and decision-making. However, in many real life domains, such as power systems, medicine, and engineering, it can be very expensive to acquire…

Machine Learning · Computer Science 2024-02-16 Zimeng Lyu , Alexander Ororbia , Rui Li , Travis Desell

In many research fields, the sizes of the existing datasets vary widely. Hence, there is a need for machine learning techniques which are well-suited for these different datasets. One possible technique is the self-organizing map (SOM), a…

Machine Learning · Computer Science 2020-01-09 Felix M. Riese , Sina Keller

Transformers have shown impressive capabilities across various tasks, but their performance on compositional problems remains a topic of debate. In this work, we investigate the mechanisms of how transformers behave on unseen compositional…

Machine Learning · Computer Science 2025-01-14 Zhongwang Zhang , Pengxiao Lin , Zhiwei Wang , Yaoyu Zhang , Zhi-Qin John Xu

The interpretation of ligand-target interactions at atomistic resolution is central to most efforts in computational drug discovery and optimization. However, the highly dynamic nature of protein targets, as well as possible induced fit…

Biomolecules · Quantitative Biology 2024-12-04 Lara Callea , Camilla Caprai , Laura Bonati , Toni Giorgino , Stefano Motta

The present paper attempts to generate visual clustering and data extraction of cell formation problem using both principal component analysis (PCA) and self organizing map (SOM) from input of sequence based machine-part incidence matrix.…

Adaptation and Self-Organizing Systems · Physics 2012-03-21 Manojit Chattopadhyay , Pranab K. Dan , Sitanath Majumdar

In many real world applications, data cannot be accurately represented by vectors. In those situations, one possible solution is to rely on dissimilarity measures that enable sensible comparison between observations. Kohonen's…

Neural and Evolutionary Computing · Computer Science 2007-09-24 Brieuc Conan-Guez , Fabrice Rossi , Aïcha El Golli

Motor imagery brain computer interface designs are considered difficult due to limitations in subject-specific data collection and calibration, as well as demanding system adaptation requirements. Recently, subject-independent (SI) designs…

Machine Learning · Computer Science 2021-01-06 Parisa Ghane , Narges Zarnaghi Naghsh , Ulisses Braga-Neto
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